SOLVED: Question: Check that, for any Lie group G, the Lie algebra of the Lie group is a Lie algebra, i.e. (L1), (L2) and (L3) are satisfied. Definition 8.2.4: Lie algebra structure
PROBLEM SET MATH 261A 1. Let G be a connected simply connected Lie group, g be its Lie algebra. Check that the commutator [G, G]
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Sam Walters ☕️ on X: "The algebra of n × n matrices is a Lie algebra under the usual commutator [A, B] = AB - BA since it satisfies the Jacobi identity (